Definitely ok. I have a shower with her playing on a playmat on the floor & she has a great time. I talk to her off & on, but usually she plays quite happily. At other times my dd (who is almost 3 months) just plays on the floor looking around at her toys, things, lights, etc very happily. I'd say she has 'independent' play for 50% of her awake times during the day. Mind you now my ds has finished kinder he loves to spend time with her and her independent play is reduced.
I have a bad back so I can't get down on the floor or put her in a carrier. I can play with her on my lap or on the change table (a great interaction place for us), but I really can't manage that long sitting or lying on the floor. She doesn't mind